- For the propulsion counterparts in the Re-imagined Series, see Propulsion in the Re-imagined Series.
In the Original Series, the Fleet moved only at sublight speeds.
Lightspeed is the term for a Colonial battlestar accelerating to the speed of light or faster. No other ship in Galactica's rag-tag Fleet had lightspeed ability, so normally the battlestar moved no faster than the slowest ship in the Fleet during its exodus from the destroyed Twelve Colonies.
Commander Cain brings Pegasus to lightspeed in order to outflank Baltar's attack force, though Cain earlier commented that such a maneuver would result in using half of Pegasus's fuel (The Living Legend, Part I).
Commander Adama orders Colonel Tigh to take Galactica to lightspeed, despite Tigh's objections that suggest that it had been some time since the battlestar was ordered to accelerate that fast (Experiment in Terra).
Note
Unlike its Re-imagined counterpart, however, Galactica apparently accelerated to lightspeed through its engines and did not perform any hyperdimensional movement.
While the Re-imagined Series attempts to ground its technology to plausible theories regarding apparent FTL travel, the Original Series was less scientific. The mechanism and theory of lightspeed travel in the Original Series was never explained.
Given that the Fleet regularly visits other star systems and even a few references to flying to other galaxies, it's scientifically implausible that the Fleet only moves at sublight speeds. Even at a large fraction of the speed of light, travelling from one star system to another would take years. Flying to another galaxy is impossible within a human lifetime. Even the nearest galaxies are several hundred thousand light-years distant from the Milky Way.